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2 years ago

A doctor travels to the east from city a to city b 75 km in 1.0h and returns back in another hour

Physics

1 answer:

Nadya [2.5K]2 years ago

4 0

The doctor's average speed for the whole trip is 75 km per hour. His average velocity for the whole trip is zero.

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Ferdinand the frog is hopping from lily pad to lily pad in search of a good fly

loris [4]

Answer: $36.86\°$

Explanation:

According to the described situation we have the following data:

Horizontal distance between lily pads: $d=2.4 m$

Ferdinand's initial velocity: $V_{o}=5 m/s$

Time it takes a jump: $t=0.6 s$

We need to find the angle $\theta$ at which Ferdinand jumps.

In order to do this, we first have to find the <u>horizontal component (or x-component)</u> of this initial velocity. Since we are dealing with parabolic movement, where velocity has x-component and y-component, and in this case we will choose the x-component to find the angle:

$V_{x}=\frac{d}{t}$ (1)

$V_{x}=\frac{2.4 m}{0.6 s}$ (2)

$V_{x}=4 m/s$ (3)

On the other hand, the x-component of the velocity is expressed as:

$V_{x}=V_{o}cos\theta$ (4)

Substituting (3) in (4):

$4 m/s=5 m/s cos\theta$ (5)

Clearing $\theta$ :

$\theta=cos^{-1} (\frac{4 m/s}{5 m/s})$

$\theta=36.86\°$ This is the angle at which Ferdinand the frog jumps between lily pads

4 0

2 years ago

A proton, starting from rest, accelerates through a potential difference of 1.0 kV and then moves into a magnetic field of 0.040

adell [148]

Answer:

r = 0.114 m

Explanation:

To find the speed of the proton, from conservation of energy, we know that

KE = PE

Thus, we have;

(1/2)mv² = qV

Where;

V is potential difference = 1kv = 1000V

q is charge on proton which has a value of 1.6 x 10^(-19) C

m is mass of proton with a constant value of 1.67 x 10^(-27) kg

Let's make the velocity v the subject;

v =√(2qV/m)

v = √(2•1.6 x 10^(-19)•1000)/(1.67 x 10^(-27))

v = 4.377 x 10^(5) m/s

Now to calculate the radius of the circular motion of charge we know that;

F = mv²/r = qvB

Thus, mv²/r = qvB

Divide both sides by v;

mv/r = qB

Thus, r = mv/qB

Value of B from question is 0.04T

Thus,

r = (1.67 x 10^(-27) x 4.377 x 10^(5))/(1.6 x 10^(-19) x 0.04)

r = 0.114 m

r = 8.76 m

8 0

1 year ago

The measure of one of the small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the

astra-53 [7]

Answer:

The other two small angles are 45° each

Explanation:

Given data in the problem:

The triangle is a right triangle

thus,

one of the angle is 90°

now,

let the other two angles be x and y

thus,

it is given that:

x = 2y - 45°

also in a triangle

sum of all the angles = 180°

thus,

x + y + 90° = 180°

x + y = 90°

now, substituting the value of x from the above relation between x and y, we get

2y - 45° + y = 90°

3y = 135°

y = 45°

also,

x = 2y - 45°

x = 2 × (45°) - 45°

x = 45°

hence, <u>the other two small angles are 45° each</u>

4 0

2 years ago

Sachi wants to throw a water balloon to knock over a target and win a prize. The target will only fall over if it is hit with a

Verizon [17]

3.1 the only reason i know this is cause i got it wrong

8 0

2 years ago

Read 2 more answers

A race car driver must average 200km/hr for four laps to qualify for a race. Because of engine trouble, the car averages only 17

vampirchik [111]

The average speed would have to be 260 km/hr due to the driver originally going 30 km/hr too slow the first two laps

5 0

2 years ago